Diffusion in inhomogeneous flows: Unique equilibrium state in an internal flow

AbstractIn this paper we consider horseshoes with homoclinic tangencies inside the limit set. For a class of such maps, we prove the existence of a unique equilibrium state μt, associated to the (non-continuous) potential −tlog Ju. We also prove that the Hausdorff dimension of the limit set, in any open piece of unstable manifold, is the unique number t0 such that the pressure of μt0 is zero. To deal with the discontinuity of the jacobian, we introduce a countable Markov partition adapted to the dynamics, and work with the first return map defined in a rectangle of it.

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Entropy approximation versus uniqueness of equilibrium for a dense affine space of continuous functions

Stochastics and Dynamics ◽

10.1142/s0219493716500209 ◽

2016 ◽

Vol 16 (06) ◽

pp. 1650020

Author(s):

Henri Comman

Keyword(s):

Invariant Measure ◽

Equilibrium State ◽

Affine Space ◽

Continuous Functions ◽

Metrizable Space ◽

Unique Equilibrium ◽

Space Of Continuous Functions ◽

Compact Metrizable Space ◽

Uniqueness Of Equilibrium ◽

Unique Equilibrium State

We show that for a [Formula: see text]-action (or [Formula: see text]-action) on a non-empty compact metrizable space [Formula: see text], the existence of a affine space dense in the set of continuous functions on [Formula: see text] constituted by elements admitting a unique equilibrium state implies that each invariant measure can be approximated weakly[Formula: see text] and in entropy by a sequence of measures which are unique equilibrium states.

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On the Unique Equilibrium State of Tetraploids under Selection

Biometrics ◽

10.2307/2532910 ◽

1996 ◽

Vol 52 (2) ◽

pp. 717 ◽

Cited By ~ 1

Author(s):

M. K. Singh ◽

Ram A. Kumar

Keyword(s):

Equilibrium State ◽

Unique Equilibrium ◽

Unique Equilibrium State

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Bidding Behavior and Equilibrium Excursion of Uniform Price Auction Mechanism

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595917500282 ◽

2017 ◽

Vol 34 (06) ◽

pp. 1750028 ◽

Cited By ~ 1

Author(s):

Congjun Rao ◽

Yong Zhao ◽

Junjun Zheng ◽

Mark Goh ◽

Cheng Wang

Keyword(s):

Multiple Equilibria ◽

Unique Equilibrium ◽

Uniform Price Auction ◽

Bidding Behavior ◽

Uniform Price ◽

Auction Mechanism ◽

Common Value ◽

Price Auction ◽

The Relationship ◽

Unique Equilibrium State

Multiple equilibria (equilibrium excursion) affects the auction proceeds, and is bad for estimating auction efficiency. This paper examines the relationship between bidding behavior and equilibrium excursion. We analyze a uniform price auction mechanism based on a rationing strategy and common value information. In this uniform price auction mechanism, bidders (strategic and non-strategic) participate in an auction simultaneously, and the auctioneer rations the strategic bidders after observing their bids. The conclusions drawn suggest that a rationing strategy can effectively limit the strategic bidders from manipulating the auction, and the Nash equilibrium may not be unique (i.e., there exists an equilibrium excursion). As the number of bidders increases, or when the quantity that can be allocated to the non-strategic bidders is unconstrained, there exists asymptotically a unique equilibrium price which is the highest price the auctioneer could obtain. Based on these conclusions, we provide some strategies and suggestions on how to induce the equilibrium excursion state to a desired unique equilibrium state.

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A Hitherto Undescribed Naturally Occurring Plasma Antagonist of Activated Factor X Inhibitor (Antithrombin III)

10.1055/s-0038-1665828 ◽

1979 ◽

Author(s):

E. T. Yin ◽

W. J. Salsgiver ◽

O. Tangen

Keyword(s):

Equilibrium State ◽

Human Plasma ◽

Antithrombin Iii ◽

Circumstantial Evidence ◽

Incubation Mixture ◽

Factor X ◽

Normal Human Plasma ◽

Plasma Component ◽

Naturally Occurring ◽

Normal Human

Circumstantial evidence suggested that normal human plasma contained a substance regulating the neutralization of F.Xa by F.Xa inhibitor(XaI), (Yin et.al.,Adv.Exper. Med. & Biol., 52 : 239, 1975, Plenum Press, N.Y.).This plasma component has now been isolated and partially purified in our laboratory, and tentatively designated as “Anti-XaI”.In experiments employing purified components, when Anti-XaI was incubated at 37°C with F.Xa, Xal and heparin for two minutes at pH7.5, the amount of F.Xa inhibited was inversely proportional to the Anti-XaI concentration. But, when the F.Xa was replaced by thrombin in the incubation mixture, the neutralization of thrombin clotting activity was undisturbed.Anti-XaI was found to be neither PF3 nor PF4.These and other data strongly suggest that the “Antithrombin III pathway” is more complex than currently believed to be. In circulating blood an equilibrium state must exist between Anti-XaI and XaI.Under certain conditions when the Anti-XaI activity is predominant the rate of F.Xa neutralization bv XaI then becomes slower than the activation of prothrombin to thrombin by F.Xa.

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Investigation of the natural ventilation of wind catchers with different geometries in arid region houses

JOURNAL OF MECHANICAL ENGINEERING AND SCIENCES ◽

10.15282/jmes.14.3.2020.12.0557 ◽

2020 ◽

Vol 14 (3) ◽

pp. 7109-7124

Author(s):

Nasreddine Sakhri ◽

Younes Menni ◽

Houari Ameur ◽

Ali J. Chamkha ◽

Noureddine Kaid ◽

...

Keyword(s):

Arid Region ◽

Natural Ventilation ◽

Reduction Rate ◽

Internal Flow ◽

Climatic Conditions ◽

Maximum Pressure ◽

Ventilation Technique ◽

Window Position ◽

The One ◽

Flow Velocities

The wind catcher or wind tower is a natural ventilation technique that has been employed in the Middle East region and still until nowadays. The present paper aims to study the effect of the one-sided position of a wind catcher device against the ventilated space or building geometry and its natural ventilation performance. Four models based on the traditional design of a one-sided wind catcher are studied and compared. The study is achieved under the climatic conditions of the South-west of Algeria (arid region). The obtained results showed that the front and Takhtabush’s models were able to create the maximum pressure difference (ΔP) between the windward and leeward of the tower-house system. Internal airflow velocities increased with the increase of wind speed in all studied models. For example, at Vwind = 2 m/s, the internal flow velocities were 1.7, 1.8, 1.3, and 2.5 m/s for model 1, 2, 3, and 4, respectively. However, at Vwind = 6 m/s, the internal flow velocities were 5.6, 5.5, 2.5, and 7 m/s for model 1, 2, 3, and 4, respectively. The higher internal airflow velocities are given by Takhtabush, traditional, front and middle tower models, respectively, with a reduction rate between the tower outlet and occupied space by 72, 42, 36, and 33% for the middle tower, Takhtabush, traditional tower, and the front model tower, respectively. This reduction is due to the due to internal flow resistance. The third part of the study investigates the effect of window (exist opening) position on the opposite wall. The upper, middle and lower window positions are studied and compared. The air stagnation or recirculation zone inside the ventilated space reduced from 55% with the lower window to 46% for the middle window and reached 35% for the upper window position. The Front and Takhtabush models for the one-sided wind catcher with an upper window position are highly recommended for the wind-driven natural ventilation in residential houses that are located in arid regions.

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Experimental and Numerical Analysis of a Motorcycle Air Intake System Aerodynamics and Performance

International Journal of Automotive and Mechanical Engineering ◽

10.15282/ijame.17.1.2020.10.0565 ◽

2020 ◽

Vol 17 (1) ◽

Author(s):

M. A. Abd Halim ◽

N. A. R. Nik Mohd ◽

M. N. Mohd Nasir ◽

M. N. Dahalan

Keyword(s):

Combustion Process ◽

Three Dimensional ◽

Engine Performance ◽

Internal Flow ◽

Rapid Expansion ◽

Navier Stokes ◽

Turbulent Fluctuation ◽

Ansys Fluent ◽

Induction System ◽

Acceleration And Deceleration

Induction system or also known as the breathing system is a sub-component of the internal combustion system that supplies clean air for the combustion process. A good design of the induction system would be able to supply the air with adequate pressure, temperature and density for the combustion process to optimizing the engine performance. The induction system has an internal flow problem with a geometry that has rapid expansion or diverging and converging sections that may lead to sudden acceleration and deceleration of flow, flow separation and cause excessive turbulent fluctuation in the system. The aerodynamic performance of these induction systems influences the pressure drop effect and thus the engine performance. Therefore, in this work, the aerodynamics of motorcycle induction systems is to be investigated for a range of Cubic Feet per Minute (CFM). A three-dimensional simulation of the flow inside a generic 4-stroke motorcycle airbox were done using Reynolds-Averaged Navier Stokes (RANS) Computational Fluid Dynamics (CFD) solver in ANSYS Fluent version 11. The simulation results are validated by an experimental study performed using a flow bench. The study shows that the difference of the validation is 1.54% in average at the total pressure outlet. A potential improvement to the system have been observed and can be done to suit motorsports applications.

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